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Rashid [163]
3 years ago
5

What is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1​

Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

Equate the divisor to 0

2x-1=0

2×=1

×=1/2

Putting onto the polynomial

f(1/2) = (1/2)³-1/2)²+3(1/2)-2

=-5/8

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Sloan [31]
The answer would be log base 2 of 6 over log base 2 of 3

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An exceptionally bright high school student has applied for two scholarships: a merit scholarship and an athletic scholarship. H
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Answer:

a) 0.70

b) 0.82

Step-by-step explanation:

a)

Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.

P(M)=0.3

P(A)=0.6

P(M∩A)=0.08

P(not getting merit scholarships)=P(M')=?

P(not getting merit scholarships)=1-P(M)

P(not getting merit scholarships)=1-0.3

P(not getting merit scholarships)=0.7

The probability that student not get the merit scholarship is 70%.

b)

P(getting at least one of two scholarships)=P(M or A)=P(M∪A)

P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)

P(getting at least one of two scholarships)=0.3+0.6-0.08

P(getting at least one of two scholarships)=0.9-0.08

P(getting at least one of two scholarships)=0.82

The probability that student gets at least one of two scholarships is 82%.

4 0
3 years ago
Please help! 10 points! Brailiest, stars, and hearts! Help! Please!
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Answer:

-0.1, 0, 0.8, 1.2, 1.6

Step-by-step explanation:

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What is the equation of the line? <br><br> Use y = mx+b
Olegator [25]

Answer:

y = - \frac{1}{2} x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

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m = (y₂ - y₁ ) / (x₂ - x₁ )

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Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - \frac{1}{2} x + 4 ← equation of line

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sashaice [31]

Answer:

8x-10

Step-by-step explanation:

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